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A First Course in Mathematical Logic and Set Theory

Detalles Bibliográficos
Autor principal: O'Leary, Michael L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2015.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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035 |a (OCoLC)1347026165 
082 0 4 |a 511.3  |q OCoLC  |2 23/eng/20230216 
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100 1 |a O'Leary, Michael L. 
245 1 2 |a A First Course in Mathematical Logic and Set Theory  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2015. 
300 |a 1 online resource (609 p.). 
490 1 |a New York Academy of Sciences Ser. 
500 |a Description based upon print version of record. 
505 0 |a Intro -- TITLE PAGE -- COPYRIGHT -- DEDICATION -- TABLE OF CONTENTS -- PREFACE -- ACKNOWLEDGMENTS -- LIST OF SYMBOLS -- CHAPTER 1: PROPOSITIONAL LOGIC -- 1.1 SYMBOLIC LOGIC -- 1.2 INFERENCE -- 1.3 REPLACEMENT -- 1.4 PROOF METHODS -- 1.5 THE THREE PROPERTIES -- CHAPTER 2: FIRST-ORDER LOGIC -- 2.1 LANGUAGES -- 2.2 SUBSTITUTION -- 2.3 SYNTACTICS -- 2.4 PROOF METHODS -- CHAPTER 3: SET THEORY -- 3.1 SETS AND ELEMENTS -- 3.2 SET OPERATIONS -- 3.3 SETS WITHIN SETS -- 3.4 FAMILIES OF SETS -- CHAPTER 4: RELATIONS AND FUNCTIONS -- 4.1 RELATIONS -- 4.2 EQUIVALENCE RELATIONS -- 4.3 PARTIAL ORDERS 
505 8 |a 4.4 FUNCTIONS -- 4.5 INJECTIONS AND SURJECTIONS -- 4.6 IMAGES AND INVERSE IMAGES -- CHAPTER 5: AXIOMATIC SET THEORY -- 5.1 AXIOMS -- 5.2 NATURAL NUMBERS -- 5.3 INTEGERS AND RATIONAL NUMBERS -- 5.4 MATHEMATICAL INDUCTION -- 5.5 STRONG INDUCTION -- 5.6 REAL NUMBERS -- CHAPTER 6: ORDINALS AND CARDINALS -- 6.1 ORDINAL NUMBERS -- 6.2 EQUINUMEROSITY -- 6.3 CARDINAL NUMBERS -- 6.4 ARITHMETIC -- 6.5 LARGE CARDINALS -- CHAPTER 7: MODELS -- 7.1 FIRST-ORDER SEMANTICS -- 7.2 SUBSTRUCTURES -- 7.3 HOMOMORPHISMS -- 7.4 THE THREE PROPERTIES REVISITED -- 7.5 MODELS OF DIFFERENT CARDINALITIES -- APPENDIX 
504 |a REFERENCES -- INDEX -- END USER LICENSE AGREEMENT 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
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776 0 8 |i Print version:  |a O'Leary, Michael L.  |t A First Course in Mathematical Logic and Set Theory  |d Newark : John Wiley & Sons, Incorporated,c2015  |z 9780470905883 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103794  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103794 
994 |a 92  |b IZTAP